Krakow smog report

Dataset statistics

Number of variables	12
Number of observations	8771
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	1.1 MiB
Average record size in memory	134.1 B

Variable types

DateTime	1
Numeric	11

Warnings

`Dwutlenek_azotu` is highly correlated with `Tlenki_azotu`	High correlation
`Tlenki_azotu` is highly correlated with `Dwutlenek_azotu`	High correlation
`PM10` is highly correlated with `PM_2_5` and 1 other fields	High correlation
`PM_2_5` is highly correlated with `PM10` and 1 other fields	High correlation
`Benzen` is highly correlated with `PM10` and 1 other fields	High correlation
`Dwutlenek_azotu` is highly correlated with `Tlenki_azotu` and 1 other fields	High correlation
`Tlenki_azotu` is highly correlated with `Dwutlenek_azotu` and 1 other fields	High correlation
`PM10` is highly correlated with `PM_2_5` and 2 other fields	High correlation
`PM_2_5` is highly correlated with `PM10` and 2 other fields	High correlation
`Benzen` is highly correlated with `PM10` and 3 other fields	High correlation
`Tlenek_wegla` is highly correlated with `Dwutlenek_azotu` and 4 other fields	High correlation
`Temperatura` is highly correlated with `Benzen`	High correlation
`Dwutlenek_azotu` is highly correlated with `Tlenki_azotu`	High correlation
`Tlenki_azotu` is highly correlated with `Dwutlenek_azotu` and 1 other fields	High correlation
`PM10` is highly correlated with `PM_2_5` and 2 other fields	High correlation
`PM_2_5` is highly correlated with `PM10` and 1 other fields	High correlation
`Benzen` is highly correlated with `PM10` and 2 other fields	High correlation
`Tlenek_wegla` is highly correlated with `Tlenki_azotu` and 2 other fields	High correlation
`PM_2_5` is highly correlated with `Temperatura` and 2 other fields	High correlation
`Tlenki_azotu` is highly correlated with `Dwutlenek_azotu`	High correlation
`Temperatura` is highly correlated with `PM_2_5` and 2 other fields	High correlation
`Dwutlenek_azotu` is highly correlated with `Tlenki_azotu`	High correlation
`Benzen` is highly correlated with `PM_2_5` and 1 other fields	High correlation
`PM10` is highly correlated with `PM_2_5` and 2 other fields	High correlation
`Wilgotnosc` is highly correlated with `Temperatura`	High correlation
`Tlenek_wegla` is highly skewed (γ1 = 22.82293213)	Skewed
`Data` has unique values	Unique

Reproduction

Analysis started	2021-12-14 18:09:36.138754
Analysis finished	2021-12-14 18:10:15.993162
Duration	39.85 seconds
Software version	pandas-profiling v3.0.0
Download configuration	config.json

Data
Date

UNIQUE

Distinct	8771
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Memory size	395.1 KiB

Minimum	2020-01-01 01:00:00
Maximum	2020-12-31 23:00:00

Histogram

Histogram with fixed size bins (bins=50)

Dwutlenek_azotu
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	1076
Distinct (%)	12.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	48.76959852

Minimum	4.1
Maximum	170.1
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	4.1
5-th percentile	18
Q1	33.3
median	47.1
Q3	61.75
95-th percentile	85.95
Maximum	170.1
Range	166
Interquartile range (IQR)	28.45

Descriptive statistics

Standard deviation	21.03571769
Coefficient of variation (CV)	0.4313284982
Kurtosis	0.4868743692
Mean	48.76959852
Median Absolute Deviation (MAD)	14.2
Skewness	0.5883063475
Sum	427758.1486
Variance	442.5014186
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
41.5	30	0.3%
57.5	27	0.3%
53.9	27	0.3%
32.6	25	0.3%
28.7	25	0.3%
50.2	25	0.3%
41.9	24	0.3%
41.4	24	0.3%
40.5	24	0.3%
37.8	23	0.3%
Other values (1066)	8517	97.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
4.1	1	< 0.1%
4.2	1	< 0.1%
4.8	1	< 0.1%
5.3	1	< 0.1%
5.4	1	< 0.1%
5.7	1	< 0.1%
6	1	< 0.1%
6.1	1	< 0.1%
6.2	2	< 0.1%
6.3	1	< 0.1%

Value	Count	Frequency (%)
170.1	1	< 0.1%
150.7	1	< 0.1%
143.8	1	< 0.1%
139.3	1	< 0.1%
138.4	2	< 0.1%
134.9	1	< 0.1%
134.6	1	< 0.1%
130.1	1	< 0.1%
128.5	1	< 0.1%
127.5	1	< 0.1%

Tlenki_azotu
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	3183
Distinct (%)	36.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	144.8817081

Minimum	0.1
Maximum	931.5
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0.1
5-th percentile	30.55
Q1	72.75
median	120.7
Q3	188.2
95-th percentile	353.05
Maximum	931.5
Range	931.4
Interquartile range (IQR)	115.45

Descriptive statistics

Standard deviation	102.56951
Coefficient of variation (CV)	0.707953484
Kurtosis	3.653503683
Mean	144.8817081
Median Absolute Deviation (MAD)	54.7
Skewness	1.59624611
Sum	1270757.461
Variance	10520.50438
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
73.7	12	0.1%
75.5	11	0.1%
52.6	11	0.1%
84.5	11	0.1%
0.1	11	0.1%
76.2	10	0.1%
126.9	10	0.1%
141.4	10	0.1%
35.4	10	0.1%
74.7	10	0.1%
Other values (3173)	8665	98.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.1	11	0.1%
0.2	9	0.1%
0.3	1	< 0.1%
0.4	2	< 0.1%
0.5	2	< 0.1%
0.6	3	< 0.1%
0.7	2	< 0.1%
0.8	1	< 0.1%
0.9	3	< 0.1%
1	3	< 0.1%

Value	Count	Frequency (%)
931.5	1	< 0.1%
858.7	1	< 0.1%
806.7	1	< 0.1%
721.5	1	< 0.1%
705.7	1	< 0.1%
696	1	< 0.1%
688.2	1	< 0.1%
677.6	1	< 0.1%
677.3	1	< 0.1%
668.2	1	< 0.1%

PM10
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	1484
Distinct (%)	16.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	39.12744512

Minimum	3
Maximum	248.3
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	3
5-th percentile	11.7
Q1	21.2
median	30.9
Q3	49.1
95-th percentile	93.65
Maximum	248.3
Range	245.3
Interquartile range (IQR)	27.9

Descriptive statistics

Standard deviation	26.92642752
Coefficient of variation (CV)	0.6881723924
Kurtosis	4.82919537
Mean	39.12744512
Median Absolute Deviation (MAD)	12.2
Skewness	1.849183933
Sum	343186.8212
Variance	725.032499
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
25.9	37	0.4%
90.37213037	36	0.4%
23	33	0.4%
20.9	31	0.4%
25.8	31	0.4%
23.8	31	0.4%
21.7	30	0.3%
24.5	30	0.3%
14.5	30	0.3%
36.3	29	0.3%
Other values (1474)	8453	96.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3	9	0.1%
3.8	1	< 0.1%
3.9	8	0.1%
4	1	< 0.1%
4.3	1	< 0.1%
4.6	3	< 0.1%
4.7	1	< 0.1%
4.8	6	0.1%
4.9	1	< 0.1%
5.2	1	< 0.1%

Value	Count	Frequency (%)
248.3	1	< 0.1%
227.8	1	< 0.1%
225.7	1	< 0.1%
214	1	< 0.1%
211.5	1	< 0.1%
207.9	1	< 0.1%
207.7	1	< 0.1%
202.4	1	< 0.1%
201.8	1	< 0.1%
198.4	1	< 0.1%

PM_2_5
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	968
Distinct (%)	11.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	23.10723767

Minimum	0
Maximum	226.1
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0
5-th percentile	4.7
Q1	10.5
median	17.1
Q3	29
95-th percentile	62.25
Maximum	226.1
Range	226.1
Interquartile range (IQR)	18.5

Descriptive statistics

Standard deviation	19.94510955
Coefficient of variation (CV)	0.8631542134
Kurtosis	9.55353004
Mean	23.10723767
Median Absolute Deviation (MAD)	8.1
Skewness	2.439144258
Sum	202673.5816
Variance	397.807395
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.2	65	0.7%
15.2	48	0.5%
0.3	48	0.5%
11.3	47	0.5%
11.8	47	0.5%
9.1	46	0.5%
12.7	46	0.5%
9	46	0.5%
7.3	45	0.5%
10.5	44	0.5%
Other values (958)	8289	94.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	< 0.1%
0.1	31	0.4%
0.2	65	0.7%
0.3	48	0.5%
0.4	29	0.3%
0.5	19	0.2%
0.6	5	0.1%
0.7	2	< 0.1%
0.8	3	< 0.1%
0.9	5	0.1%

Value	Count	Frequency (%)
226.1	1	< 0.1%
207.9	1	< 0.1%
204.9	1	< 0.1%
194.9	1	< 0.1%
180.5	1	< 0.1%
157.5	1	< 0.1%
157.1	1	< 0.1%
156.8	1	< 0.1%
155.3	1	< 0.1%
152.7	1	< 0.1%

Benzen
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	429
Distinct (%)	4.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	1.161035856

Minimum	0
Maximum	21.1
Zeros	44
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.1
Q1	0.2
median	0.5
Q3	1.4
95-th percentile	4.4
Maximum	21.1
Range	21.1
Interquartile range (IQR)	1.2

Descriptive statistics

Standard deviation	1.702606853
Coefficient of variation (CV)	1.466455015
Kurtosis	18.05997323
Mean	1.161035856
Median Absolute Deviation (MAD)	0.3
Skewness	3.468709563
Sum	10183.44549
Variance	2.898870097
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.2	1483	16.9%
0.1	999	11.4%
0.3	959	10.9%
0.4	596	6.8%
0.5	439	5.0%
0.6	314	3.6%
0.7	273	3.1%
0.8	257	2.9%
0.9	194	2.2%
1	161	1.8%
Other values (419)	3096	35.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	44	0.5%
0.1	999	11.4%
0.1392857143	3	< 0.1%
0.1413793103	1	< 0.1%
0.1428571429	1	< 0.1%
0.1428571429	2	< 0.1%
0.15	3	< 0.1%
0.1551724138	1	< 0.1%
0.1551724138	1	< 0.1%
0.1551724138	1	< 0.1%

Value	Count	Frequency (%)
21.1	1	< 0.1%
19.7	1	< 0.1%
19.1	1	< 0.1%
18.5	1	< 0.1%
14.8	1	< 0.1%
14.5	2	< 0.1%
14.4	1	< 0.1%
13.8	1	< 0.1%
13.7	2	< 0.1%
13.6	1	< 0.1%

Tlenek_wegla
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
SKEWED

Distinct	136
Distinct (%)	1.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.9198350956

Minimum	0.2
Maximum	147
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0.2
5-th percentile	0.3
Q1	0.5
median	0.6
Q3	0.9
95-th percentile	1.5
Maximum	147
Range	146.8
Interquartile range (IQR)	0.4

Descriptive statistics

Standard deviation	3.465951432
Coefficient of variation (CV)	3.768013907
Kurtosis	674.7476894
Mean	0.9198350956
Median Absolute Deviation (MAD)	0.2
Skewness	22.82293213
Sum	8067.873623
Variance	12.01281933
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5	1506	17.2%
0.4	1352	15.4%
0.6	1298	14.8%
0.7	975	11.1%
0.8	710	8.1%
0.3	579	6.6%
0.9	534	6.1%
1	391	4.5%
1.1	272	3.1%
1.2	229	2.6%
Other values (126)	925	10.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.2	74	0.8%
0.3	579	6.6%
0.4	1352	15.4%
0.5	1506	17.2%
0.5209580838	1	< 0.1%
0.5994011976	1	< 0.1%
0.6	1298	14.8%
0.6006024096	1	< 0.1%
0.6024242424	1	< 0.1%
0.6048780488	1	< 0.1%

Value	Count	Frequency (%)
147	1	< 0.1%
113.8	1	< 0.1%
96.8	1	< 0.1%
77.3	1	< 0.1%
64.8	1	< 0.1%
63.9	1	< 0.1%
63.8	1	< 0.1%
60.8	1	< 0.1%
52.4	1	< 0.1%
51.5	2	< 0.1%

Kierunek_wiatru
Real number (ℝ_≥0)

Distinct	722
Distinct (%)	8.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	215.1459212

Minimum	0
Maximum	360
Zeros	6
Zeros (%)	0.1%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0
5-th percentile	44
Q1	161.3
median	246
Q3	278
95-th percentile	328
Maximum	360
Range	360
Interquartile range (IQR)	116.7

Descriptive statistics

Standard deviation	90.20711891
Coefficient of variation (CV)	0.4192834259
Kurtosis	-0.5103017265
Mean	215.1459212
Median Absolute Deviation (MAD)	42
Skewness	-0.7918574092
Sum	1887044.875
Variance	8137.324301
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
245	87	1.0%
252	85	1.0%
247	80	0.9%
246	79	0.9%
251	78	0.9%
279	77	0.9%
262	77	0.9%
280	77	0.9%
244	75	0.9%
277	74	0.8%
Other values (712)	7982	91.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	6	0.1%
1	12	0.1%
2	10	0.1%
3	17	0.2%
4	10	0.1%
5	10	0.1%
6	16	0.2%
7	17	0.2%
8	6	0.1%
9	15	0.2%

Value	Count	Frequency (%)
360	4	< 0.1%
359	7	0.1%
358	9	0.1%
357	12	0.1%
356	21	0.2%
355	10	0.1%
354	14	0.2%
353	13	0.1%
352	15	0.2%
351	13	0.1%

Predkosc_wiatru
Real number (ℝ_≥0)

Distinct	3184
Distinct (%)	36.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	1.653479907

Minimum	0.2583333333
Maximum	7.626666667
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	0.2583333333
5-th percentile	0.4666666667
Q1	0.8233333333
median	1.423333333
Q3	2.206666667
95-th percentile	3.6725
Maximum	7.626666667
Range	7.368333333
Interquartile range (IQR)	1.383333333

Descriptive statistics

Standard deviation	1.045424592
Coefficient of variation (CV)	0.6322572097
Kurtosis	1.849503214
Mean	1.653479907
Median Absolute Deviation (MAD)	0.6683333333
Skewness	1.235104653
Sum	14502.67226
Variance	1.092912578
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.6633333333	16	0.2%
0.545	16	0.2%
0.7033333333	15	0.2%
0.6416666667	15	0.2%
0.5116666667	14	0.2%
0.5216666667	14	0.2%
0.5633333333	14	0.2%
0.5516666667	14	0.2%
0.5566666667	14	0.2%
0.5283333333	13	0.1%
Other values (3174)	8626	98.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.2583333333	1	< 0.1%
0.2616666667	1	< 0.1%
0.2633333333	1	< 0.1%
0.2716666667	1	< 0.1%
0.2733333333	1	< 0.1%
0.2783333333	2	< 0.1%
0.28	1	< 0.1%
0.2833333333	1	< 0.1%
0.2879310345	1	< 0.1%
0.2931034483	1	< 0.1%

Value	Count	Frequency (%)
7.626666667	1	< 0.1%
7.411666667	1	< 0.1%
6.906666667	1	< 0.1%
6.903333333	1	< 0.1%
6.678333333	1	< 0.1%
6.631666667	1	< 0.1%
6.62	1	< 0.1%
6.608333333	1	< 0.1%
6.443333333	1	< 0.1%
6.428333333	1	< 0.1%

Temperatura
Real number (ℝ)

HIGH CORRELATION
HIGH CORRELATION

Distinct	7165
Distinct (%)	81.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	10.53214859

Minimum	-6.131666667
Maximum	32.035
Zeros	1
Zeros (%)	< 0.1%
Negative	634
Negative (%)	7.2%
Memory size	395.1 KiB

Quantile statistics

Minimum	-6.131666667
5-th percentile	-0.7833333333
Q1	4.298680556
median	9.817528736
Q3	16.5725
95-th percentile	24.0925
Maximum	32.035
Range	38.16666667
Interquartile range (IQR)	12.27381944

Descriptive statistics

Standard deviation	7.690324505
Coefficient of variation (CV)	0.7301762257
Kurtosis	-0.6419103009
Mean	10.53214859
Median Absolute Deviation (MAD)	6.039195402
Skewness	0.319362951
Sum	92377.47527
Variance	59.14109099
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.58375	5	0.1%
8.051538462	5	0.1%
11.30897436	5	0.1%
6.889097222	5	0.1%
6.960138889	5	0.1%
3.446666667	5	0.1%
3.377847222	5	0.1%
6.518333333	5	0.1%
9.595192308	5	0.1%
8.090512821	5	0.1%
Other values (7155)	8721	99.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-6.131666667	1	< 0.1%
-6.103333333	1	< 0.1%
-5.965	1	< 0.1%
-5.906666667	1	< 0.1%
-5.748333333	1	< 0.1%
-5.44	1	< 0.1%
-5.368333333	1	< 0.1%
-5.023333333	1	< 0.1%
-4.926666667	1	< 0.1%
-4.888333333	1	< 0.1%

Value	Count	Frequency (%)
32.035	1	< 0.1%
31.91833333	1	< 0.1%
31.83833333	1	< 0.1%
31.81666667	1	< 0.1%
31.77166667	1	< 0.1%
31.7	1	< 0.1%
31.68	1	< 0.1%
31.44833333	1	< 0.1%
31.38333333	1	< 0.1%
31.34666667	1	< 0.1%

Wilgotnosc
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	7726
Distinct (%)	88.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	61.2152353

Minimum	8.856666667
Maximum	85.37833333
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	8.856666667
5-th percentile	29.71
Q1	49.99541667
median	64.57833333
Q3	75.095
95-th percentile	81.79916667
Maximum	85.37833333
Range	76.52166667
Interquartile range (IQR)	25.09958333

Descriptive statistics

Standard deviation	16.59018731
Coefficient of variation (CV)	0.271014025
Kurtosis	-0.5029015431
Mean	61.2152353
Median Absolute Deviation (MAD)	11.855
Skewness	-0.6621250448
Sum	536918.8288
Variance	275.234315
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
66.683125	5	0.1%
51.40048611	5	0.1%
72.00211538	5	0.1%
64.51472222	5	0.1%
78.6322	5	0.1%
50.51055556	5	0.1%
69.57782051	5	0.1%
60.60986111	4	< 0.1%
66.11986111	4	< 0.1%
77.99	4	< 0.1%
Other values (7716)	8724	99.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
8.856666667	1	< 0.1%
9.37	1	< 0.1%
9.445	1	< 0.1%
10.095	1	< 0.1%
10.18166667	1	< 0.1%
10.27166667	1	< 0.1%
10.29666667	1	< 0.1%
10.6	1	< 0.1%
10.87333333	1	< 0.1%
10.93	1	< 0.1%

Value	Count	Frequency (%)
85.37833333	1	< 0.1%
85.36166667	1	< 0.1%
85.35833333	1	< 0.1%
85.34833333	1	< 0.1%
85.33333333	1	< 0.1%
85.3	1	< 0.1%
85.29166667	2	< 0.1%
85.28833333	1	< 0.1%
85.26666667	1	< 0.1%
85.24833333	1	< 0.1%

Cisnienie
Real number (ℝ_≥0)

Distinct	7161
Distinct (%)	81.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	990.3376553

Minimum	958.8811321
Maximum	1017.685
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	395.1 KiB

Quantile statistics

Minimum	958.8811321
5-th percentile	977.1158333
Q1	985.6708333
median	990.1458333
Q3	995.7504167
95-th percentile	1003.0225
Maximum	1017.685
Range	58.80386792
Interquartile range (IQR)	10.07958333

Descriptive statistics

Standard deviation	7.825081795
Coefficient of variation (CV)	0.007901428117
Kurtosis	0.420657137
Mean	990.3376553
Median Absolute Deviation (MAD)	5.119166667
Skewness	-0.1332258287
Sum	8686251.575
Variance	61.2319051
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
995.505	6	0.1%
987.6470139	5	0.1%
987.3416667	5	0.1%
986.1703472	5	0.1%
986.9175694	5	0.1%
989.915	5	0.1%
987.2565972	5	0.1%
984.185	5	0.1%
991.295	5	0.1%
987.9233333	5	0.1%
Other values (7151)	8720	99.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
958.8811321	1	< 0.1%
959.1660377	1	< 0.1%
959.5584906	1	< 0.1%
959.8528302	1	< 0.1%
960.2735849	1	< 0.1%
960.8169811	1	< 0.1%
961.1188679	1	< 0.1%
961.9830189	1	< 0.1%
962.845283	1	< 0.1%
963.4584906	1	< 0.1%

Value	Count	Frequency (%)
1017.685	1	< 0.1%
1017.62	1	< 0.1%
1017.601667	1	< 0.1%
1017.528333	1	< 0.1%
1017.518333	1	< 0.1%
1017.511667	1	< 0.1%
1017.453333	1	< 0.1%
1017.428333	1	< 0.1%
1017.405	1	< 0.1%
1017.33	1	< 0.1%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	Data	Dwutlenek_azotu	Tlenki_azotu	PM10	PM_2_5	Benzen	Tlenek_wegla	Kierunek_wiatru	Predkosc_wiatru	Temperatura	Wilgotnosc	Cisnienie
0	2020-01-01 01:00:00	19.7	35.0	34.3	17.9	0.2	0.7	278.0	2.471667	4.403333	62.058333	1002.798333
1	2020-01-01 02:00:00	22.8	43.5	32.2	15.0	0.2	0.7	279.0	2.200000	4.113333	61.336667	1002.940000
2	2020-01-01 03:00:00	31.8	68.4	35.7	16.3	0.2	0.8	270.0	1.906667	3.830000	62.410000	1003.261667
3	2020-01-01 04:00:00	26.4	52.6	34.0	15.0	0.2	0.7	278.0	1.998333	3.480000	63.541667	1003.481667
4	2020-01-01 05:00:00	24.5	50.4	26.1	11.6	0.2	0.7	277.0	2.248333	3.135000	64.786667	1003.888333
5	2020-01-01 06:00:00	22.9	50.1	25.9	11.1	0.1	0.7	276.0	1.788333	2.818333	65.636667	1004.068333
6	2020-01-01 07:00:00	21.9	43.4	22.6	10.6	0.2	0.7	275.0	2.088333	2.785000	65.166667	1004.423333
7	2020-01-01 08:00:00	27.8	51.4	18.6	9.5	0.1	0.7	271.0	2.276667	3.346667	60.155000	1004.938333
8	2020-01-01 09:00:00	24.6	43.2	20.3	10.1	0.2	0.6	268.0	2.610000	3.463333	58.850000	1004.996667
9	2020-01-01 10:00:00	22.9	40.1	29.2	10.6	0.1	0.7	277.0	2.651667	3.543333	59.391667	1005.078333

Last rows

	Data	Dwutlenek_azotu	Tlenki_azotu	PM10	PM_2_5	Benzen	Tlenek_wegla	Kierunek_wiatru	Predkosc_wiatru	Temperatura	Wilgotnosc	Cisnienie
8761	2020-12-31 14:00:00	47.9	171.4	49.0	20.4	1.7	1.0	178.966667	1.245182	3.337994	68.356238	986.578516
8762	2020-12-31 15:00:00	51.0	169.6	52.3	21.7	1.6	1.0	161.100000	1.287188	2.943977	69.407799	986.674006
8763	2020-12-31 16:00:00	55.8	188.0	51.8	24.5	2.5	1.1	158.566667	1.315563	2.569937	70.463420	986.736211
8764	2020-12-31 17:00:00	53.0	166.3	49.7	25.9	2.2	1.1	173.866667	1.317792	2.343434	71.337405	986.764173
8765	2020-12-31 18:00:00	51.1	142.5	49.2	27.2	2.6	1.0	157.166667	1.325613	2.111960	72.428350	986.814570
8766	2020-12-31 19:00:00	44.8	162.2	52.3	28.9	2.4	1.1	159.517241	1.351681	1.893145	73.365169	986.882812
8767	2020-12-31 20:00:00	39.5	108.1	52.6	30.1	2.7	0.9	157.310345	1.428841	1.842346	73.492614	986.892811
8768	2020-12-31 21:00:00	39.3	83.7	47.8	27.3	1.8	0.8	173.034483	1.409485	1.770589	73.711608	986.900253
8769	2020-12-31 22:00:00	41.3	106.3	52.5	31.2	1.8	0.9	142.137931	1.406695	1.698616	73.832488	986.820671
8770	2020-12-31 23:00:00	39.3	91.2	66.7	41.9	3.4	1.1	160.896552	1.437244	1.554774	74.218842	986.681872

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows